A general method to solve problem of blind signal separation using tensor decomposition

Yanliang Zhang,Geng Li

COMPUTER MODELLING&NEW TECHNOLOGIES 2014 18(12B) 158-162

School of Computer Science & Technology, Henan Polytechnic University, Jiaozuo 454001,China

The estimation of mixing matrix is a key step to solve the problem of blind signal separation. The existing algorithm can only estimate the matrix of well-determined, over-determined and under-determined in condition of sparse source. Scaling and permutation ambiguities lie in both factor matrix of tensor Parallel factors decomposition and mixing matrix in blind signal separation. With this property, the estimation of mixing matrix can be transformed into tensor parallel factors decomposition of observed signal’s statistic. The decomposition can be realized by the method of alternating least squares.The theoretical analysis and simulations show that the method proposed in this paper is anefficient algorithm to estimate well-determined, over-determined and under-determined mixing matrix.